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Calculus • Series

Conceptual Understanding of AP Calculus Ideas

Apoorv M

Series Details

Sessions

Public Discussion

This series was cancelled by the tutor on February 1, 2023. We're very sorry–you can explore more Calculus series here. All 1:1 and group chats related to this series are disabled 7 days after the last session.

Series Details

About

We will go over each of the AP Calculus topics, with a focus on the concepts rather than formulae and exercises (although exercises are necessary for rigorous understanding, they will not be the focus). We will start with the meaning of infinity and a conceptual understanding of limits, and then go on to geometric approaches to differentiation and integration. We will end with sequences and series. I will try to go over differential equations if I get enough time.

You should be familiar with basic algebra concepts (including knowledge of functions), various functions (algebraic, trigonometric, exponential), and algebraic manipulation of equations. It is also necessary to have a willingness for abstract thinking, as calculus requires much of it. This series will especially require abstract thinking, which can be developed throughout the series, but cannot be developed without a desire to understand anything fully.

The series will have some structure, but each session will not have a set topic. It will mainly be a continuation of our discussions in the previous sessions, so I may have to adjust the session topics/descriptions or add more sessions.

Participation is strongly encouraged from anyone joining the series, as the success of this series highly depends on participation. Feel free to unmute and ask any questions you may have at any time - I will be happy to answer!

✋ ATTENDANCE POLICY

The sessions have some continuity, and although it is strongly recommended to attend every session, it is not required. If you will be missing a session, please notify me at least 24 hours in advance.

I usually will not withdraw anyone without notice. However, if the series is full and you have missed many sessions without notifying me, I may withdraw you to make space for more learners.

Dates

January 12 - January 31

Learners

9 / 15

Total Sessions

About the Tutor

I am a homeschooled high-school senior and I am really interested in learning about math, science, and computer science.

View Apoorv M's Profile

Upcoming Sessions

Past Sessions

Jan

Session 1

AP Calculus

Thu Jan 12, 2023, 2:30 AM

We will get acquainted with one another, and then begin the series with the most basic question in calculus: What is infinity?

We will discuss this question, and if possible, talk about sets and functions.

Jan

Session 2

AP Calculus

Sat Jan 14, 2023, 2:30 AM

Makeup session for the first session.

Jan

Session 3

AP Calculus

Thu Jan 19, 2023, 2:30 AM

We will continue discussing limits.

Jan

Session 4

AP Calculus

Tue Jan 24, 2023, 2:30 AM

We will shift our discussion of limits to continuity and interval notation.

Jan

Session 5

AP Calculus

Thu Jan 26, 2023, 2:30 AM

We will talk about epsilon-delta limits.

Jan

Session 6

AP Calculus

Tue Jan 31, 2023, 2:30 AM

We will talk about rates of change and what a derivative actually means.

Public Discussion

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